What are the advantages and disadvantages of solving equations, solving inequalities and function images?

It's the most direct way to solve the equation, but some equations are limited by what they have learned, so they can't be solved;
Solving inequality is similar to solving equation, which can directly get the required interval, but limited by the ability, some can not be solved;
Function image can directly see the needed information, but the image is often difficult to draw, sometimes it can be solved by continuous transformation, sometimes it is a necessary method

RELATED INFORMATIONS

1. What is the solution of the equations 2x + y = 2,2x + y = 5? Then what is the relationship between the images of this function y = 2-2x and y = 5-2x
2. How to determine whether a change relation is a function? Is Y & # 178; = 3x a function?
3. Let m and n (m ≠ 0) be constants. If in the positive proportional function y = KX, the independent variable x increases m and the corresponding function y increases n, then the value of K is () A. k＝nmB. k＝mnC. k＝−nmD. k＝−mn
4. It is known that y is a positive proportional function of X. when the independent variable x increases by 5, the value of Y decreases by 7
5. Is y = 1 / x a positive proportional function (x is an independent variable)
6. Given a positive proportional function, when the dependent variable y increases by 3, the independent variable x increases by 9, then the relation of this function is
7. In the following functions, X is an independent variable and Y is a dependent variable. Which are primary functions and which are positive proportional functions? (1) Y = 5 of X (2) y = 5 of X (3) y = - 3x + 1 (4) y = x & sup2; - 1 (5) - 2 of X + 1 Give reasons
8. If the function y = 3x2 - (9 + a) x + 6 + 2A (x is an independent variable and X is an integer) gets the minimum value when x = 6 or x = 7, then the value range of a is______ ．
9. Given the function y = √ - 3x-6-7, when the independent variable x takes what value, the function y has the minimum value? And find the minimum value
10. Draw the image of y = 3x-6 when - 1 ≤ X
11. Solve the equation (4x-1) ^ 2-3 (1-4x) - 4 = 0 (at least in two ways) (4x-1) ^ 2 = - 4x-1 squared
12. How to draw the function image of 4x-4 = 0?
13. The number of zeros of function f (x) = 2x-x & # 178; - 2 / X in (0, + ∞) is?
14. Function f (x) = 2lnx - X & # 178; - KX (K ∈ R), if function f (x) has two zeros m, n (0 ＜ m ＜ n), and 2x0 = m + n. question: can the tangent of function f (x) at the point (x0, f (x0)) be parallel to the X axis? If so, find the tangent equation; if not, explain the reason
15. If f (x) = 2x & # 178; - MX- If the function f (x) = 2x & # 178; - MX-3 is an increasing function when x ∈ [2, positive infinity] and a decreasing function when x belongs to (negative infinity, - 2), then f (1) is equal to? And solved by the most basic method,
16. I'm preview now! Determine whether the following is a function relation. Y = + - x, y = x & #; When x = 1, y has two corresponding values, so y is not a function of X. when x = 1, - 1, y has a definite value of 1, so it is a functional relationship. So I want to ask, this problem does not tell who is a variable and who is a constant. Then I regard y as a variable, and when y = 1, x = + - 1, there are two corresponding values. Is it not a functional relationship? I'm a sophomore in junior high school. I just preview the new content tonight, Weak ask you big brother ~ swelling? Can only see x?
17. It is known that the image of the first-order function y = 3x + 3 intersects with the x-axis at point a and the y-axis intersects with point B, and the image of the second-order function y = - x ^ 2 + BX + C passes through two points a and B 1) There is a point m on the parabola, so that the area of △ mAb is equal to the area of △ OAB, and the coordinates of point m are obtained 2) On the line AB, there is a point P passing through P, making a parabola at the intersection of L / / X axis and C D (C is on the left side of D). If PC + PD = 6, find the coordinates of point P
18. The function y = 1-x & # 179; if the image is translated according to the vector a = (0,1), the function expression corresponding to the translated image is
19. (1) Find the domain of definition and range of function y = (x + 2) ^ - 2; (2) how to transform the image of this function image from the image of y = x ^ - 2? (3) find the monotone interval of function y = (x + 2) ^ - 2
20. Function image up and down translation domain unchanged, left and right translation range unchanged, this sentence right?